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Simplifying 98 + 7w = 120 + 5w Solving 98 + 7w = 120 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 98 + 7w + -5w = 120 + 5w + -5w Combine like terms: 7w + -5w = 2w 98 + 2w = 120 + 5w + -5w Combine like terms: 5w + -5w = 0 98 + 2w = 120 + 0 98 + 2w = 120 Add '-98' to each side of the equation. 98 + -98 + 2w = 120 + -98 Combine like terms: 98 + -98 = 0 0 + 2w = 120 + -98 2w = 120 + -98 Combine like terms: 120 + -98 = 22 2w = 22 Divide each side by '2'. w = 11 Simplifying w = 11
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